Questions: Graph the equation on paper, and then choose the correct graph on the right. y = (1/5)^x Choose the correct graph A. C. B. D.

Solution Steps

The given equation is \( y = \left(\frac{1}{5}\right)^x \).

The equation \( y = \left(\frac{1}{5}\right)^x \) is an exponential decay function because the base \(\frac{1}{5}\) is between 0 and 1.

For an exponential decay function:

• As \( x \) increases, \( y \) decreases.
• As \( x \) decreases, \( y \) increases.
• The graph will approach the x-axis (y = 0) but never touch it.

Among the given options, the correct graph should show a curve that decreases as \( x \) increases and approaches the x-axis.

Final Answer